DOI QR코드

DOI QR Code

Numerical simulation of electrokinetic dissipation caused by elastic waves in reservoir rocks

  • Zhang, Xiaoqian (College of Emergency Management & Safety Engineering, China University of Mining & Technology) ;
  • Wang, Qifei (College of Emergency Management & Safety Engineering, China University of Mining & Technology) ;
  • Li, Chengwu (College of Emergency Management & Safety Engineering, China University of Mining & Technology) ;
  • Sun, Xiaoqi (College of Emergency Management & Safety Engineering, China University of Mining & Technology) ;
  • Yan, Zheng (College of Emergency Management & Safety Engineering, China University of Mining & Technology) ;
  • Nie, Yao (College of Emergency Management & Safety Engineering, China University of Mining & Technology)
  • 투고 : 2019.06.23
  • 심사 : 2019.08.26
  • 발행 : 2019.09.20

초록

The use of electrokinetic dissipation method to study the fluid flow law in micro-pores is of great significance to reservoir rock microfluidics. In this paper, the micro-capillary theory was combined with the coupling model of the seepage field and the current field under the excitation of the harmonic signal, and the coupling theory of the electrokinetic effect under the first-order approximation condition was derived. The dissipation equation of electrokinetic dissipation and viscous resistance dissipation and its solution were established by using Green's function method. The physical and mathematical models for the electrokinetic dissipation of reservoir rocks were constructed. The microscopic mechanism of the electrokinetic dissipation of reservoir rock were theoretically clarified. The influencing factors of the electrokinetic dissipation frequency of the reservoir rock were analyzed quantitatively. The results show that the electrokinetic effect transforms the fluid flow profile in the pores of the reservoir from parabolic to wavy; under low-frequency conditions, the apparent viscosity coefficient is greater that one and is basically unchanged. The apparent viscosity coefficient gradually approaches 1 as the frequency increases further. The viscous resistance dissipation is two orders of magnitude higher than the electrokinetic effect dissipation. When the concentration of the electrolyte exceeds 0.1mol/L, the electrokinetic dissipation can be neglected, while for the electrolyte solution (<$10^{-2}M$) in low concentration, the electrokinetic dissipation is very significant and cannot be ignored.

키워드

참고문헌

  1. Allegre, V., Jouniaux, L., Lehmann, F. and Sailhac, P. (2010), "Streaming potential dependence on water-content in Fontainebleau sand", Geophys. J. Int., 182(3), 1248-1266. https://doi.org/10.1111/j.1365-246X.2010.04716.x.
  2. Carcione, J.M. and Tinivella, U. (2000), "Bottom-simulating reflectors: Seismic velocities and AVO effects", Geophysics, 66(3), 984. https://doi.org/10.1190/1.1444725.
  3. Ding, Z., Jian, Y. and Tan, W. (2019), "Electrokinetic energy conversion of two-layer fluids through nanofluidic channels", Fluid Mech., 863, 1062-1090. https://doi.org/10.1017/jfm.2019.6.
  4. Garambois, S., Senechal, P. and Perroud, H. (2012), "On the use of combined geophysical methods to assess water content and water conductivity of near-surface formations", J. Hydrol., 259(1), 32-48. https://doi.org/10.1016/S0022-1694(01)00588-1.
  5. Ghommem, M., Qiu, X.D., Aidagulov, G. and Abbad, M. (2017), "Streaming potential measurements for downhole monitoring of reservoir fluid flows: A laboratory study", J. Petrol. Sci. Eng., 161, 38-49. https://doi.org/10.1016/j.petrol.2017.11.039.
  6. Guan, W., Shi, P. and Hu, H. (2018), "Contributions of poroelasticwave potentials to seismoelectromagnetic wavefields and validity of the quasi-static calculation: A view from a borehole model", Geophys. J. Int., 212(1), 458-475. https://doi.org/10.1093/gji/ggx417.
  7. Holzhauer, J., Brito, D., Bordes, C., Brun, Y. and Guatarbes, B. (2017), "Experimental quantification of the seismoelectric transfer function and its dependence on conductivity and saturation in loose sand", Geophys. Prospect., 65(4), 1097-1120. https://doi.org/10.1111/1365-2478.12448.
  8. Hu, H.S., Wang, K.X. and Wang, J. (2000), "Simulation of acoustically induced electromagnetic field in a borehole embedded in a porous formation", Borehole Acoustics Annual Report, Earth Resources Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A.
  9. Ji, Y. and Li, X. (2018), "Analysis on Geo-stress and casing damage based on fluid-solid coupling for Q9G3 block in Jibei oil field", Geomech. Eng., 15(1), 677-686. https://doi.org/10.12989/gae.2018.15.1.677.
  10. Jouniaux, L. and Zyserman, F. (2016), "A review on electrokinetically induced seismo-electrics, electro-seismics, and seismo-magnetics for earth sciences", Solid Earth, 7(1), 249-284. https://doi.org/10.5194/se-7-249-2016.
  11. Liu, N., Huang, Q.B., Fan, W., Ma, Y.J. and Peng, J.B. (2018), "Seismic responses of a metro tunnel in a ground fissure site", Geomech. Eng., 15(2), 775-781. https://doi.org/10.12989/gae.2018.15.2.775.
  12. Peng, R., Di, B., Wei, J., Ding, P., Zhao, J., Pan, X. and Liu, Z. (2017), "Experimental study of the seismoelectric interface response in wedge and cavity models", Geophys. J. Int., 210(3), 1703-1720. https://doi.org/10.1093/gji/ggx253.
  13. Pride, S.R. (1994), "Governing equations for the coupled electromagnetics and acoustics of porous media", Phys. Rev. B, 50(21), 15678-15696. https://doi.org/10.1103/PhysRevB.50.15678.
  14. Revil, A. (2016), "Transport of water and ions in partially watersaturate d porous media. Part 1. Constitutive equations", Adv. Water Resour., 103, 119-138. https://doi.org/10.1016/j.advwatres.2016.02.006.
  15. Revil, A., Barnier, G., Karaoulis, M., Sava, P., Jardani, A. and Kulessa, B. (2013), "Seismoelectric coupling in unsaturated porous media: theory, petrophysics, and saturation front localization using an clectroacoustic approach", Geophys. J. Int., 196(2), 867-884. https://doi.org/10.1093/gji/ggt440.
  16. Revil, A., Kessouri, P. and Torres-Verdin, C. (2014), "Electrical conductivity, induced polarization, and permeability of the Fontainebleau sandstone". Geophysics, 79(5), D301-D318. https://doi.org/10.1190/geo2014-0036.1.
  17. Shi, P., Guan, W. and Hu, H.S. (2018), "Dependence of dynamic electrokinetic-coupling-coefficient on the electric double layer thickness of fluid-filled porous formations", Ann. Geophys., 61(3), 340. https://doi.org/10.4401/ag-7522.
  18. Thompson, A.H., Hornbostel, S., Burns, J., Murray, T., Raschke, R., Wride, J., McCammon, P., Summer, J., Haake, G., Bixby, M., Ross, W., White, B.S., Zhou, M.Y. and Peczak, P. (2007), "Field tests of electroseismic hydrocarbon detection", Geophysics, 72(1), N1-N9. https://doi.org/10.1190/1.2399458.
  19. Vinogradov, J. and Jackson, M.D. (2011), "Multiphase streaming potential in sandstones saturated with gas/brine and oil/brine during drainage and imbibition", Geophys. Res. Lett., 38(1), L01301. https://doi.org/10.1029/2010GL045726.
  20. Walker, E., Glover, P.W.J., Tardif, E. and Ruel, J. (2011), DC Elcectrokinetic Coupling Coefficient of Porous Samples in the Laboratory: Experimentation and Modeling, Energy Environment Economy.
  21. Wang, J., Hu, H., Guan, W., Zheng, W., Yang, Y. and Li, H.(2017), "Electrokinetic measurements of formation velocities with wireline seismoelectric logging and seismoelectric logging while drilling", Chin. J. Geophys., 60(2), 862-872. https://doi.org/10.6038/cjg20170236. (in Chinese).
  22. Xie, Y., Sherwood, J.D., Shui, L.L, Van Den Berg, A. and Eijkel, J.C.T., (2011), "Strong enhancement of streaming current power by application of two phase flow", Lab on a Chip, 11(23), 4006-4011. https://doi.org/10.1039/c1lc20423h.
  23. Zhang, R., Wang, S., Yeh, M.H., Pan, C., Lin, L., Yu, R., Zang, Y., Zheng, L., Jiao, Z. and Wang, Z.L. (2015), "A streaming potential/current-based microfluidic direct current generator for self-powered nanosystems", Adv. Mater., 27(41), 6482-6487. https://doi.org/10.1002/adma.201502477.
  24. Zhao, G., Jian, Y. and Li, F. (2016), "Heat transfer of nanofluids in microtubes under the effects of streaming potential", Appl. Therm. Eng., 100, 1299-1307. https://doi.org/10.1016/j.applthermaleng.2016.02.101.
  25. Zyserman, F.I., Gauzellino, P.M., Santos, J.E. (2012), "Numerical evidence of gas hydrate detection by means of electroseismics", J. Appl. Geophys., 86, 98-108. https://doi.org/10.1016/j.jappgeo.2012.08.005
  26. Zyserman, F.I., Jouniaux, L., Warden, S. and Garambois, S. (2015), "Borehole seismoelectric logging using a shear-wave source: possible application to CO2 disposal?", Int. J. Greenhouse Gas Control, 33, 89-102. https://doi.org/10.1016/j.ijggc.2014.12.009.
  27. Zyserman, F.I., Monachesi, L.B. and Jouniaux, L. (2016), "Dependence of shear wave seismoelectrics on soil textures: A numerical study in the vadose zone", Geophys. J. Int., 208(2), 918-935. https://doi.org/10.1093/gji/ggw431.

피인용 문헌

  1. Study on Plastic Zone Distribution Characteristic of Coal and Rock Mass in Excavation from Crosscut Coal vol.2020, 2019, https://doi.org/10.1155/2020/6610399
  2. A rock physical approach to understand geo-mechanics of cracked porous media having three fluid phases vol.23, pp.4, 2019, https://doi.org/10.12989/gae.2020.23.4.327